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Finding the Fourth Proportional to 11,902.75, 16,425.80 and 6,598.36

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Solution

The fourth proportional to 11,902.75, 16,425.80 and 6,598.36 is: 9,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.75 : 16,425.80 = 6,598.36 : x
  2. Step 2: Convert to fraction form
    11,902.75/16,425.80 = 6,598.36/x
  3. Step 3: Cross multiply
    11,902.75x = 16,425.80 × 6,598.36
  4. Step 4: Simplify right side
    11,902.75x = 108,383,341.69
  5. Step 5: Solve for x
    x = 108,383,341.69/11,902.75
  6. Step 6: Final answer
    x = 9,105.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.